Math Olympiad #26 Homework Hints

1. How many days are there from Jan 1 to Feb 22?  On what days will Mondays occur?

2. How many Xs can fill the entire rectangle?  How many Xs are actually missing?

3. Count (1, 1, 24) as one of the triples whose product is 24.  How many different triples of natural numbers including (1, 1, 24) have a product of 24?

4. How many days would the food last if it was used by just one scout?

5. What is the largest number that each of the two-digit numbers will divide exactly?